Question
$$4x+8 = 10x+1$$
Answer
$$ x = \dfrac{7}{6} $$
Explanation
$$ \begin{aligned} 4x+8 &= 10x+1&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]4x-10x &= 1-8&& \text{simplify left and right hand side} \\[1 em]-6x &= -7&& \text{ divide both sides by $ -6 $ } \\[1 em]x &= \frac{-7}{-6}&& \\[1 em]x &= \frac{7}{6}&& \\[1 em] \end{aligned} $$
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